[tex]f(x) + g(x) = \frac{3}{4}x^{6}-2x^{4}+\frac{5}{4}x^{2}+4 + \frac{1}{4}x^{6}+2x^{4}+x^{3}-2x+2=\\\\=\frac{3}{4}x^{6}+\frac{1}{4}x^{6}-2x^{4}+2x^{4}+x^{3}+\frac{5}{4}x^{2}-\frac{1}{4}x^{2}-2x+4+2=\\\\=\frac{4}{4}x^{6}+x^{3}+\frac{4}{4}x^{2}-2x+6=\\\\=\underline{x^{6}+x^{3}+x^{2}-2x+6}[/tex]
